This book is the main text for 15.053 Introduction to Optimization taught at MIT. To make the book available online, most chapters have been re-typeset. Chapters 6, 7 and 10 were not, but are still av . . . . .

Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications i . . . . .

Derivations of Applied Mathematics is a book of applied mathematical proofs. If you have seen a mathematical result, if you want to know why the result is so, you can look for the proof here.
The . . . . .

These note are intended to give background material in mathemat-
ical population genetics and also, in part, to form the background
for some of the material given by other lecturers.Some standard ge . . . . .

This is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special function . . . . .

Mathematics Of The Discrete Fourier Transform (DFT) - With Audio Applications.The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier Transform. However, the . . . . .

The boundary element method (BEM) is a powerful tool in computational acoustic analysis. The Boundary Element Method in Acoustics serves as an introduction to the BEM and its application to acoustic p . . . . .